Average Velocity and Motion Concepts Quiz
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Questions and Answers

What is the definition of average velocity?

  • Rate of change of position over time (correct)
  • Total time taken for the journey
  • Total distance traveled over total time
  • Final position minus initial position only
  • Which of the following describes a key difference between speed and velocity?

  • Speed is measured in km/h while velocity is not
  • Speed refers to total displacement, while velocity refers to total distance
  • Velocity has direction while speed does not (correct)
  • Velocity can only be calculated for straight line paths
  • What is the term used for the total movement from an initial position to a final position?

  • Travel Time
  • Displacement (correct)
  • Distance
  • Speed
  • What does the slope of a position-time graph represent?

    <p>Velocity (B)</p> Signup and view all the answers

    What characterizes an object in uniform motion?

    <p>Constant average velocity (D)</p> Signup and view all the answers

    What happens to the slope of the graph when there is a change in velocity?

    <p>It changes (D)</p> Signup and view all the answers

    In a position-time graph, when does an object appear stationary?

    <p>When the slope is zero (B)</p> Signup and view all the answers

    What measurement is indicated by the value of the slope in terms of units?

    <p>Distance per time (C)</p> Signup and view all the answers

    During which interval is the speed of the object highest in a position-time graph?

    <p>When the slope is steepest (B)</p> Signup and view all the answers

    If an object's position-time graph has a downward slope, what does this indicate?

    <p>The object is moving towards the origin (A)</p> Signup and view all the answers

    Which of the following describes a change in the motion of an object?

    <p>Speeding up or slowing down (A)</p> Signup and view all the answers

    What describes an object moving with constant velocity?

    <p>Acceleration is zero (A)</p> Signup and view all the answers

    Which statement applies when an object is at rest?

    <p>It has a velocity of 0 (A)</p> Signup and view all the answers

    How is average velocity calculated over a total distance of 100 km traveled in 2 hours?

    <p>50 km/h (D)</p> Signup and view all the answers

    What would indicate a negative acceleration?

    <p>Object's speed is decreasing (B)</p> Signup and view all the answers

    What does the slope of a distance vs. time graph represent?

    <p>Velocity (D)</p> Signup and view all the answers

    In the equations of motion, what does a slope of a velocity vs. time graph represent?

    <p>Acceleration (D)</p> Signup and view all the answers

    Which equation correctly relates speed, distance, and time?

    <p>Speed = Distance / Time (B)</p> Signup and view all the answers

    What defines constant acceleration in motion?

    <p>Velocity changes consistently over equal time intervals (A)</p> Signup and view all the answers

    What will be the distance from the base of a building where a rock hits the ground if it is thrown horizontally with a speed of 14 m/s from a height of 10 m?

    <p>40 m (A)</p> Signup and view all the answers

    When a crate is dropped from a plane moving forward, landing 120 m away, what is the formula to find the speed v of the plane if dropped from a height of 85.0 m?

    <p>v = \frac{120}{\sqrt{2h/g}} (C)</p> Signup and view all the answers

    What is the height H from which a bullet must be projected horizontally at 350 m/s to land 225 m away?

    <p>5.0 m (B)</p> Signup and view all the answers

    If a rock is thrown horizontally at 18.0 m/s from a cliff of height 35.0 m, what components of the final velocity need to be calculated before impact?

    <p>Both horizontal and vertical components (C)</p> Signup and view all the answers

    On Planet X, a rock travels a horizontal distance of 52.0 m while thrown at a speed of 29.0 m/s from 3.20 m high. What physics concept is primarily used to find the acceleration due to gravity?

    <p>Projectile motion (B)</p> Signup and view all the answers

    What is a scalar quantity?

    <p>A quantity that only shows magnitude (A)</p> Signup and view all the answers

    What is the displacement of a train initially located 14 km South when it moves 30 km North?

    <p>16 km North (D)</p> Signup and view all the answers

    What will be the time of flight for a rock thrown horizontally from a height of 10 m?

    <p>1.43 s (A)</p> Signup and view all the answers

    If a crate falls from a moving plane and lands 120 m away, which of the following factors will directly affect how far it lands from the drop point?

    <p>The speed of the plane (A)</p> Signup and view all the answers

    If an object moves from a position 37 m East to 171 m East, and then to 84 m West, what is its overall displacement?

    <p>121 m West (A)</p> Signup and view all the answers

    What is the total distance travelled by an object that moves 16 km North, 26 km South, and then 40 km North?

    <p>70 km (B)</p> Signup and view all the answers

    What is the acceleration due to gravity if a rock is thrown horizontally from a height of 3.20 m and lands 52.0 m away with a speed of 29.0 m/s?

    <p>9.81 m/s² (A)</p> Signup and view all the answers

    If an object originally located 72 m above a cliff falls to a position 18 m below the cliff, what is its displacement?

    <p>90 m downward (A)</p> Signup and view all the answers

    An object experiences a displacement of 1.13 m to the right and ends up 25 cm right of the origin. What is its original position?

    <p>88 cm left of the origin (C)</p> Signup and view all the answers

    If a motion results in a distance of 71.33 cm and an overall displacement of 16.19 cm right, which is true?

    <p>Displacement can be less than distance. (B)</p> Signup and view all the answers

    What is the resulting displacement of an object that travels 40 km North, 26 km South, and then 16 km North?

    <p>30 km North (A)</p> Signup and view all the answers

    What is the total distance traveled when moving from 1450 m South to 925 m North?

    <p>2375 m (C)</p> Signup and view all the answers

    How far does a MIG-25 travel during a pilot’s blink if its speed is 2110 mi/h?

    <p>0.50 miles (D)</p> Signup and view all the answers

    What is the average speed of a car that travels at 85 km/h for 4 hours and then 75 km/h for 3 hours?

    <p>78.57 km/h (B)</p> Signup and view all the answers

    If an object moves at an average velocity of 7.40 km/h South for 3 hours, what is its final position relative to the origin?

    <p>8.50 km South (D)</p> Signup and view all the answers

    During which intervals is the object moving to the left?

    <p>From 0 to 12 min (A)</p> Signup and view all the answers

    How long does it take to travel a distance of 9.324 km at an average velocity of approximately 3.3 × 10³ m/s?

    <p>2.2 seconds (D)</p> Signup and view all the answers

    What is the average velocity of an object that has a displacement of 9.6 km North over a period of time?

    <p>12 km/h North (D)</p> Signup and view all the answers

    When is the object furthest right of the origin during its motion on the graph?

    <p>At 20 min (D)</p> Signup and view all the answers

    Flashcards

    Distance

    Distance is the total length of the path travelled by an object regardless of direction.

    Displacement

    Displacement is the overall change in position of an object from its starting point to its ending point, taking into account both distance and direction.

    What are scalar quantities?

    A scalar quantity is any value that has only magnitude (how much), but no direction.

    What are vector quantities?

    A vector quantity is any value that has both magnitude and direction.

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    How to calculate total distance

    d_total = d_1 + d_2 + ... is formula for calculating the total distance traveled by adding up all individual distances.

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    How to calculate total displacement

    Calculating total displacement involves considering both the magnitude and direction of each displacement. For example, if an object moves 5 m east and then 3 m west, its total displacement is 2 m east (5 m - 3 m).

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    What is the formula for final position?

    Final position = Initial position + Displacement

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    What is Δd (Delta d)?

    The change in position of an object is called displacement. It is a vector quantity, meaning it has both magnitude (how much) and direction.

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    What is velocity?

    The rate at which an object changes its position over time. It's a vector quantity, meaning it has both magnitude (speed) and direction.

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    What is displacement?

    The change in position of an object. It's a vector quantity, meaning it has both magnitude and direction.

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    What is speed?

    The total distance traveled divided by the total time taken. It's a scalar quantity, meaning it only has magnitude.

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    What is average velocity?

    The change in displacement divided by the time taken. It's a vector quantity, meaning it has both magnitude and direction.

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    What is average speed?

    A scalar quantity that describes the total distance covered by an object divided by the total time taken. It only has magnitude.

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    What is a vector quantity?

    A quantity that has both magnitude (size) and direction.

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    What is a scalar quantity?

    A quantity that has only magnitude (size), no direction.

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    What is distance?

    The total length of the path travelled by an object, regardless of direction.

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    What is the significance of slope on a position-time graph?

    The slope of a position-time graph represents the velocity of an object. A constant slope signifies uniform motion, where the object moves at a constant (average) velocity.

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    What is uniform motion?

    When an object's position changes at a constant rate over time, it's in uniform motion.

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    What does a change in slope on a position-time graph indicate?

    A change in slope on a position-time graph indicates a change in velocity. This means the object is either speeding up, slowing down, or changing direction.

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    When is an object considered stationary on a position-time graph?

    The object is stationary when its position remains constant over time. On a position-time graph, this would be represented by a horizontal line, indicating no change in position.

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    How to determine the interval with the greatest speed on a position-time graph?

    The point on the graph where the slope changes the most drastically indicates the interval with the greatest speed.

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    How does the slope of a position-time graph relate to speed?

    The steeper the slope of a position-time graph, the faster the object is moving. A larger change in position over a shorter time interval means higher velocity.

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    What is total distance?

    The total distance traveled by an object is the sum of all the individual distances it covers, regardless of direction.

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    Origin

    The starting point of an object's motion.

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    Vector

    A quantity represented by both magnitude and direction.

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    Acceleration

    The change in velocity of an object over time.

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    Velocity

    The rate of change in an object's position.

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    Slope of Position-Time graph

    The slope of a position-time graph represents an object's velocity.

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    Area under Velocity-Time graph

    The area between a velocity-time graph and the time axis represents the object's displacement.

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    At rest

    An object at rest does not change its position.

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    What are Horizontally Launched Projectiles?

    Horizontally Launched Projectiles are objects that are given an initial horizontal velocity and then allowed to fall freely under the influence of gravity.

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    Does the horizontal velocity of a horizontally launched projectile change?

    The horizontal velocity of a horizontally launched projectile remains constant throughout its flight because there is no horizontal force acting on it.

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    Does the vertical velocity of a horizontally launched projectile change?

    The vertical velocity of a horizontally launched projectile increases as it falls due to the acceleration due to gravity.

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    What determines the time of flight for a horizontally launched projectile?

    The time it takes for a horizontally launched projectile to hit the ground is determined solely by its initial vertical position and the acceleration due to gravity.

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    How do you calculate the horizontal range of a horizontally launched projectile?

    The horizontal distance traveled by a horizontally launched projectile is determined by its horizontal velocity and the time of flight.

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    What is the trajectory of a horizontally launched projectile?

    The path taken by a horizontally launched projectile is a parabola, shaped like a curve.

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    What is the initial vertical velocity of a horizontally launched projectile?

    The initial vertical velocity of a horizontally launched projectile is zero because it is initially launched horizontally.

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    What is the final velocity of a horizontally launched projectile?

    The final velocity of a horizontally launched projectile has both horizontal and vertical components; the horizontal component remains constant while the vertical component increases based on the acceleration due to gravity.

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    Study Notes

    Physics 20 Unit 1: Kinematics

    • This unit covers the fundamental concepts of motion, including scalar and vector quantities, uniform motion, and uniformly accelerated motion in one and two dimensions.

    Key Concepts

    • Scalar Quantities: Quantities with only magnitude (e.g., distance, speed, time).
    • Vector Quantities: Quantities with both magnitude and direction (e.g., displacement, velocity, acceleration).
    • Uniform Motion: Motion with a constant velocity, meaning the object travels equal distances in equal time intervals, resulting in a straight line when plotted on a position-time graph.
    • Uniformly Accelerated Motion: Motion with a constant acceleration, leading to a curved line on a position-time graph, and a straight line on a velocity-time graph.
    • Two-Dimensional Motion: Motion that has components in both the horizontal and vertical directions.

    Specific Knowledge Outcomes

    • Students should be able to define and use displacement, velocity, and acceleration, both qualitatively and quantitatively.
    • They should understand the distinction between scalar and vector quantities.
    • Comprehending the motions of uniform and uniformly accelerated motion, both through written, numerical, and graphical representations.
    • Understanding how to interpret two-dimensional motion using vector components.

    Specific Skill Outcomes

    • Analyzing data and applying mathematical and conceptual models to motion problems.
    • Constructing graphs to demonstrate relationships between displacement, velocity, acceleration, and time, for both uniform and uniformly accelerated motion.
    • Solving projectile motion problems near Earth's surface (ignoring air resistance) and analyzing a graph of empirical data to analyze motion.
    • Relate acceleration to the slope of, and displacement to the area under, a velocity-time graph
    • Using correct SI units, communicating conclusions with numeric and symbolic representations, and interpreting graphical data.

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    Description

    Test your understanding of average velocity and key concepts of motion with this quiz. It covers definitions, differences between speed and velocity, and interpretation of position-time graphs. Perfect for students learning about physics and kinematics!

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